Class Natural

• Defined in ontology: Kif-numbers
• Source pathname: /tmp_mnt/vol/q/htw/cms/ontolingua/examples/kif/../../all-ontologies/kif/kif-numbers.lisp

Subclass-Of@Frame-Ontology:

Integer, Number, Rational-Number, Real-Number

Instance-Of@Frame-Ontology: Class@Frame-Ontology, Relation@Ol-User%Kif-Relations, Set@Ol-User%Kif-Sets

Range-Of@Frame-Ontology: Float-Radix

Arity@Frame-Ontology: 1

Documentation@Ol%Frame-Ontology: Natural number

---

Slots:

Implication Axioms for Natural:

(=> (Natural ?X) (> ?X 0))

Equivalence Axioms for Natural:

(<=> (Natural ?X) (And (Integer ?X) (> ?X 0)))

Equivalence Axioms mentioning Natural:

(<=> (Has-At-Least@Ol-User%Slot-Constraint-Sugar ?Instance
                   ?Binary-Relation
                   ?N)
     (And (Binary-Relation@Ol-User%Kif-Relations ?Binary-Relation)
          (Natural ?N)
          (>= (Value-Cardinality@Frame-Ontology ?Instance
                                 ?Binary-Relation)
              ?N)))

(<=> (Has-At-Most@Ol-User%Slot-Constraint-Sugar ?Instance
                  ?Binary-Relation
                  ?N)
     (And (Binary-Relation@Ol-User%Kif-Relations ?Binary-Relation)
          (Natural ?N)
          (=< (Value-Cardinality@Frame-Ontology ?Instance
                                 ?Binary-Relation)
              ?N)))

Axioms mentioning Natural:

(Nth-Domain@Frame-Ontology Nth@Ol-User%Kif-Lists 2 Natural)

(Nth-Domain@Frame-Ontology Nthrest@Ol-User%Kif-Lists 2 Natural)

(Nth-Domain@Frame-Ontology Has-At-Least@Ol-User%Slot-Constraint-Sugar
            3
            Natural)

(Nth-Domain@Frame-Ontology Has-At-Most@Ol-User%Slot-Constraint-Sugar
            3
            Natural)